I don’t have a multimeter though
Any multimeter will be good enough for this. Cheap ones will probably be inaccurate but good enough for this.
and it’s been some time since I’ve used one.
Shove the dial to ohms. Check the probes read 0ish when directly connected. Test across heating element.
Have you done this?
Not a tumble drier and not a Samsung but a Bosch washing machine and a Siemens dishwasher.
I did cut myself on some sharp metal on the dishwasher. Dishwasher are a lot harder to service IMO.